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olasank [31]
2 years ago
7

Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot

Mathematics
1 answer:
matrenka [14]2 years ago
7 0

Answer:

\angle A \cong \angle D

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that \overline{AB} \cong \overline{DE} and \overline{AC} \cong \overline{DF}, therefore, an additional information showing that the angle between \overline{AB} and \overline{DE} in ∆ABC is congruent to the angle between \overline{AC} and \overline{DF} in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be \angle A \cong \angle D.

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

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Evaluate the following, if a=7, b=3, c=2
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Answer:

Step-by-step explanation:

a^2 - 5bc - 1

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b = 3

c = 2

7^2 - 5*3*2 - 1

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2 years ago
John is selling tickets to an event. Attendees can either buy a general admission ticket, x,
Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29     Eqn 1

50x+55y=1505   Eqn 2

Multiplying Eqn 1 by 50

50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55

Dividing both sides by 5

\frac{5y}{5}=\frac{55}{5}\\y=11

Putting y=11 in Eqn 1

x+11=29\\x=19-11\\x=18

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1232765
  • brainly.com/question/1234767

#LearnwithBrainly

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3 years ago
There were 48 blue, 48 green and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest
Elis [28]
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Answer:

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

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2 years ago
Please help me with this!!
Troyanec [42]

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As the height increases, the temperature decreases.

It is decreasing 5°C per kilometer.

At the height 8 km the temperature is 0°.

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